If the point `P(2 + 2i)` is rotated about origin inanticlockwise direction with an angle `(2pi)/3` to reach point Q. Then coordinates of Q are

The coordinate axies are rotated about the origin O in the counterclock wise direction through an angle 60^@ . If p and q are the intercepts made on the new axes by a straight line whose equation refered to the original axes is x+y =1 then 1//p^2+1//q^2 =

The point represented by the complex number (2-i) is rotated about origin through an angle of pi/2 in clockwise direction. The new position of the point will be-

The point represented by the complex number 2-i is rotated about origin through on angle pi/2 the clockwise direction, the new position of the point is

The coordinate axes are rotated about the origin O in the counter clockwise direction through an angle 60^(circ) . If p and q are the intercepts made on the new axes by a line whose equation referred to the original axes is x+y=1 then (1)/(p^(2))+(1)/(q^(2))=

The point represented by the complex number (2 - i) is rotated about origin through an angle (pi)/(2) in the clockwise direction, the new position of point is (A) 1+2i (B) -1-2i (C) 2+i (D) -1+2i

The point represented by the complex number (2 - i) is rotated about origin through an angle (pi)/(2) in the clockwise direction, the new position of point is (A) 1+2i (B) -1-2i (C) 2+i (D) -1+2i

A point (2,2) undergoes reflection in the x . axis and then the coordinate axe are rotated through an angle of (pi)/(4) in anticlockwise direction.The final position of the point in the new coordinate system is